Search a number
-
+
11531406450 = 2352611379199
BaseRepresentation
bin10101011110101001…
…10100110001110010
31002202122101010211210
422233110310301302
5142104020001300
65144130020550
7555521223534
oct125724646162
932678333753
1011531406450
1149881a6383
122299a17756
13111a057935
147b56bd854
1547755d050
hex2af534c72

11531406450 has 96 divisors (see below), whose sum is σ = 29282054400. Its totient is φ = 3002227200.

The previous prime is 11531406437. The next prime is 11531406461. The reversal of 11531406450 is 5460413511.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1248951 + ... + 1258149.

It is an arithmetic number, because the mean of its divisors is an integer number (305021400).

Almost surely, 211531406450 is an apocalyptic number.

11531406450 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11531406450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14641027200).

11531406450 is an abundant number, since it is smaller than the sum of its proper divisors (17750647950).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11531406450 is a wasteful number, since it uses less digits than its factorization.

11531406450 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9412 (or 9407 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

Adding to 11531406450 its reverse (5460413511), we get a palindrome (16991819961).

The spelling of 11531406450 in words is "eleven billion, five hundred thirty-one million, four hundred six thousand, four hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 50 61 75 122 137 150 183 274 305 366 411 610 685 822 915 1370 1525 1830 2055 3050 3425 4110 4575 6850 8357 9150 9199 10275 16714 18398 20550 25071 27597 41785 45995 50142 55194 83570 91990 125355 137985 208925 229975 250710 275970 417850 459950 561139 626775 689925 1122278 1253550 1260263 1379850 1683417 2520526 2805695 3366834 3780789 5611390 6301315 7561578 8417085 12602630 14028475 16834170 18903945 28056950 31506575 37807890 42085425 63013150 76876043 84170850 94519725 153752086 189039450 230628129 384380215 461256258 768760430 1153140645 1921901075 2306281290 3843802150 5765703225 11531406450